Math

ProbabilityQ&A LibraryAssume the random variable X is normally distributed with mean u 50 and standard deviation o = 7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded.P(56 X66)Which of the following normal curves corresponds to P(56 SX366)?Ос.A.В.ЛЛ50 56 6650 56 6650 56 66(Round to four decimal places as needed.)P(56 Xs66)Question

Asked Oct 21, 2019

274 views

Step 1

The following normal curve corresponds to *P* (56 ≤ *X* ≤ 66) is obtained below:

The *P* (56 ≤ *X* ≤ 66) is developed using MINITAB**:**

** **Choose **Graph > Probability Distribution Plot **choose **View Probability**** > OK.**

- From
**Distribution**, choose ‘**Normal**’ distribution. - In
**Mean**enter the value as 50. - In
**Standard deviation**enter the value as 7. - Click the
**Shaded Area** - Choose
and*X*Value**Middle**for the region of the curve to shade. - Enter the
**X value 1**as**56**. - Enter the
**X value 2**as**66**. - Click
**OK**.

Follow the above instructions to obtain the MINITAB output.

Step 2

From the above output the **option B** is correct.

The value of *P* (56 ≤ *X* ≤ 66) is obtained below:

Let *X* ~*N* (*µ*, *σ*), t...

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